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Finding the Third Proportional to 82,553,556 and 178,033,740

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Solution

The third proportional to 82,553,556 and 178,033,740 is: 383,944,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,553,556 : 178,033,740 = 178,033,740 : x
  2. Step 2: Convert to fraction form
    82,553,556/178,033,740 = 178,033,740/x
  3. Step 3: Cross multiply
    82,553,556x = 178,033,740 × 178,033,740
  4. Step 4: Simplify right side
    82,553,556x = 31,696,012,578,387,600
  5. Step 5: Solve for x
    x = 31,696,012,578,387,600/82,553,556
  6. Step 6: Final answer
    x = 383,944,848.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.